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Finding the Third Proportional to 190,036 and 410,504

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Solution

The third proportional to 190,036 and 410,504 is: 886,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,036 : 410,504 = 410,504 : x
  2. Step 2: Convert to fraction form
    190,036/410,504 = 410,504/x
  3. Step 3: Cross multiply
    190,036x = 410,504 × 410,504
  4. Step 4: Simplify right side
    190,036x = 168,513,534,016
  5. Step 5: Solve for x
    x = 168,513,534,016/190,036
  6. Step 6: Final answer
    x = 886,745.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.